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Finding the Fourth Proportional to 409,228.84, 564,764.16 and 248,090.68

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Solution

The fourth proportional to 409,228.84, 564,764.16 and 248,090.68 is: 342,382.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,228.84 : 564,764.16 = 248,090.68 : x
  2. Step 2: Convert to fraction form
    409,228.84/564,764.16 = 248,090.68/x
  3. Step 3: Cross multiply
    409,228.84x = 564,764.16 × 248,090.68
  4. Step 4: Simplify right side
    409,228.84x = 140,112,724,494.03
  5. Step 5: Solve for x
    x = 140,112,724,494.03/409,228.84
  6. Step 6: Final answer
    x = 342,382.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.